Search a number
-
+
2034245400 = 2335211308219
BaseRepresentation
bin111100101000000…
…0001111100011000
312020202210101002020
41321100001330120
513131231323100
6533504534440
7101260541415
oct17120017430
95222711066
102034245400
11954307750
12489321420
132655a7805
1415425110c
15bd8c95a0
hex79401f18

2034245400 has 96 divisors (see below), whose sum is σ = 6879470400. Its totient is φ = 493148800.

The previous prime is 2034245387. The next prime is 2034245407. The reversal of 2034245400 is 45424302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034245407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147510 + ... + 160709.

It is an arithmetic number, because the mean of its divisors is an integer number (71661150).

Almost surely, 22034245400 is an apocalyptic number.

2034245400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034245400 is an abundant number, since it is smaller than the sum of its proper divisors (4845225000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034245400 is a wasteful number, since it uses less digits than its factorization.

2034245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308249 (or 308240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2034245400 is about 45102.6096805939. The cubic root of 2034245400 is about 1267.0714757241.

Adding to 2034245400 its reverse (45424302), we get a palindrome (2079669702).

The spelling of 2034245400 in words is "two billion, thirty-four million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 308219 616438 924657 1232876 1541095 1849314 2465752 3082190 3390409 3698628 4623285 6164380 6780818 7397256 7705475 9246570 10171227 12328760 13561636 15410950 16952045 18493140 20342454 23116425 27123272 30821900 33904090 36986280 40684908 46232850 50856135 61643800 67808180 81369816 84760225 92465700 101712270 135616360 169520450 184931400 203424540 254280675 339040900 406849080 508561350 678081800 1017122700 2034245400